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if a=b then b=a
symmetric property

if a=b and b=c, then a=c
transitive property

if a =b, then a+c = b+c
addition property of equality

if a=b, then ac= bc
subtraction property of equality

if a=b, then a times c= b times c
AxC = BxC
multiplication property of equality

if a=b, then a/c=b/c
(c does not equal 0)
division property of equality

if a=b, then you may replace b with a in any expression
substitution property of equality

a(b+c)=ab+ac
distribution property

Through any 2 points, there is exactly one line
postulate 21

Through any 3 collinear points there is exactly 1 plane.
Postulate 22

A line contains at least 2 points
Postulate 23

A plane contains at least 3 points, not all on the same line
Postulate 24

If 2 points lie on a plane then the entire line containing those 2 points lies in that plane
Postulate 25

Two lines intersect in a line
Postulate 26

Two planes intersect in a line
Postulate 27

IF M is midpoint of segment AB, then segment AM is congruent to segment MB
Midpoint theorem

The points on any line or line segment can be paired with real numbers so that, given any 2 points, A and B on a line, A corresponds to zero, and B corresponds to a positive real number
Ruler Postulate

If A, B, and C are collinear and B is between A and C, then AB+BC= AC. If AB+BC=AC, then B is between A and C.
Segment Addition Postulate

Congruence of segments is reflexive, symmetric, and transitive
theorem 22


